Mathematics · Set Theory and Relations
Let P and Q be two non-empty relations on a set A. Which of the following statements are correct? I. P and Q are reflexive ⇒ P ∩ Q is reflexive. II. P and Q are symmetric ⇒ P ∪ Q is symmetric. III. P and Q are transitive ⇒ P ∩ Q is transitive.
- 1I, II and III✓
- 2I and III only
- 3II and III only
- 4I and II only
Correct answer
I, II and III
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